1. Side Rail Sag Measurement T. Hayakawa, K. Inami, K. Suzuki (Nagoya) and T. Kohriki (KEK) 15.1.291PID upgrade meeting

2. Purpose (1) A large sag was observed at the panel-enclosure joint of the Prototype-IV. –Observed by Inami-san and Hayakawa-san, during the mechanical inspection on the Module01.  ~0.1 mm sag for 10 kg weight.  ~0.5 mm rise at the bwd end of the enclosure without rising the Honeycomb panel part. –It would damage a detector module during its installation to the Belle spectrometer.  After mounting to the ECL flanges and before connecting to the adjacent modules using z-beams.  The shear force at the panel-enclosure joint would be ~40% of its total weight.  Total module weight is ~100 kg including a Strong Back. 15.1.29PID upgrade meeting2

3. Purpose (2) A large sag was observed at the panel-enclosure joint of the Prototype-IV. (cont’d) –Extension of a Strong Back to the enclosure part is being considered to solve this problem. A question was raised if side rails can really sag that much. –Side rails should be very rigid in vertical direction. A measurement has carried out to answer the question. 15.1.29PID upgrade meeting3

4. 265 mm 6 Al frames were used to apply distributed load. 20 kg x 4 at the granite table edge. 1450 mm 750 mm 1410 mm 700 mm Dial gauges on the side rails at around the bwd end. 10 kg x 2 at the fwd end. 8 kg x 2 on the center “end- plate” and side rails. Set-up (1) Emulating a cantilever beam with a distributed load in the enclosure region of the side rails. –Based on Jim’s suggestion using the side rails for Module02. 15.1.294PID upgrade meeting Side rails are connected with 5 end-plates at the fwd end, ~1/4, ~1/2, ~3/4 and bwd end to prevent from unwanted bending of the rails, e.g. twisting.

5. Set-up (2) Sag for a given load was measured using dial gauges. –Lead blocks (11.5 kg/block) were used as load.  Measured loads: 0, 1, 2, 3 and 4 blocks. –6 Al frames (3.75 kg in total) were used to distribute the load over the enclosure region. 15.1.295PID upgrade meeting 3.75 kg26.75 kg38.25 kg

6. Results (1) Data agree with the concentrated load case unexpectedly. –Square shape seems better. Dial gauges were zero-adjusted with Al frame weight. –Need corrections. 15.1.296PID upgrade meeting A.Distributed load Max. sag = Wl 3 /(8EI) B. Concentrated load Max. sag = Wl 3 /(3EI) 1. Square shape I = bh 3 /12, where b= 6 mm, h= 45.6 mm. 2. C-shape I = [ad 3 – h 3 (a-t)]/12, where a= 7.5 mm, t= 6 mm, d= 45.6 mm, h= 27.6 mm. Approx. cross- section l= 265 mm, E(Al)= 7199.2 kgf/mm 2.

7. Results (2) Corrected the data by adding the expected sag of B1 for the Al frame weight (3.75 kg). –Measurement agrees with the concentrated load expectation for the square shape cross-section within ±0.025 mm. –The reason not to agree with the distributed load expectation is unknown. Extension of the strong back is necessary. –40 % of the module+SB weight (~100 kg) would bend the side rail by 0.73 mm. 15.1.297PID upgrade meeting